Martingale inequalities in variable Lorentz–Karamata spaces
Abstract In this paper, we introduce a new class of function spaces, which unify and generalize Lorentz–Karamata spaces, variable Lorentz spaces, and other several classical function spaces. Based on the new spaces, we define five variable martingale Hardy–Lorentz–Karamata spaces and discuss the relationships among them. Our method is the atomic decomposition by some new techniques, which rigorously improves the known results in previous literature.
Authors
- Ferenc Weisz (ORCID: https://orcid.org/0000-0002-7766-2745)
- Xinru Ding (ORCID: https://orcid.org/0000-0001-7995-6897)
- Zhiwei Hao (ORCID: https://orcid.org/0000-0001-5553-3398)
- Libo Li (ORCID: https://orcid.org/0000-0002-1186-0909)
Institutions
- Eötvös Loránd University (HU)
- Hunan University of Science and Technology (CN)
Publication Details
- Journal
- Annals of Functional Analysis
- Published
- 2025-11-07
- DOI
- https://doi.org/10.1007/s43034-025-00478-6
- Primary Topic
- Advanced Harmonic Analysis Research
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- National Natural Science Foundation of China
- Eötvös Loránd Tudományegyetem
- Scientific Research Foundation of Hunan Provincial Education Department